JBMO-SL 2011 C6
- Combinatorics
- Answer
Let be a positive integer. An equilateral triangle is divided into smaller congruent equilateral triangles (with sides parallel to its sides).
Let be the number of rhombuses that contain two small equilateral triangles and the number of rhombuses that contain eight small equilateral triangles. Find the difference in terms of .
Dataset text NuminaMath olympiads. Quoted with source.
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6n-9
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